(a)[3]
Find the coordinates for $A$, $B$ and $C$.
(b)[2]
Find the angle $ACB$ in radians. Give your answer correct to 3 significant figures.
(c)[4]
The chord $AB$ splits the circle into two segments. Determine the area of the larger segment.
Mathematics 9709 · AS & A Level · Circular measure
Circular measure — practice question
The diagram represents the circle with equation $x^2 + y^2 - 14x + 8y + 36 = 0$ together with the line $y = -2$. This line cuts the circle at $A$ and $B$. The circle’s centre is $C$.